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Difficulty: MediumCombined and Mixed Diagrams

A consumer electronics brand released its regional sales data for the last quarter. The bar chart data displays the total volume of units sold across four geographical regions, with values expressed in thousands. The accompanying table breaks down these regional totals into three specific product categories: Air Conditioners (AC), Refrigerators, and Washing Machines, represented as percentages of each region's total sales.

Total Sales by Region (in thousands):
- North: 1515
- South: 2525
- East: 1212
- West: 1818

RegionAir ConditionersRefrigeratorsWashing Machines
North40%40\%35%35\%25%25\%
South30%30\%50%50\%20%20\%
East25%25\%45%45\%30%30\%
West35%35\%40%40\%25%25\%

Based on the provided data, what is the total number of Refrigerators sold in the South and East regions combined?

  1. A
    18,50018,500
  2. 17,90017,900Answer
  3. C
    17.917.9
  4. D
    10,50010,500

Answer

The total number of Refrigerators sold in the South and East regions combined is 17,90017,900.
The correct answer accurately incorporates the 'in thousands' scale multiplier to find the true base sales for the South (25,00025,000) and East (12,00012,000) regions. It then calculates the respective Refrigerator sales independently (50%50\% of 25,000=12,50025,000 = 12,500 and 45%45\% of 12,000=5,40012,000 = 5,400) before adding them to reach 17,90017,900.

Step-by-Step Solution

1
Calculate the absolute total sales for the South and East regions.
South: 25×1,000=25,00025 \times 1,000 = 25,000. East: 12×1,000=12,00012 \times 1,000 = 12,000.
The stem indicates that the regional totals are expressed in thousands, so the given figures must be multiplied by 1,0001,000 to find the true base values.
2
Calculate the number of Refrigerators sold in the South region.
50%50\% of 25,000=0.50×25,000=12,50025,000 = 0.50 \times 25,000 = 12,500.
The table specifies that Refrigerators make up 50%50\% of the total sales in the South region.
3
Calculate the number of Refrigerators sold in the East region.
45%45\% of 12,000=0.45×12,000=5,40012,000 = 0.45 \times 12,000 = 5,400.
The table specifies that Refrigerators make up 45%45\% of the total sales in the East region.
4
Add the two values together.
12,500+5,400=17,90012,500 + 5,400 = 17,900.
The question asks for the combined total of Refrigerators sold in both the South and East regions.

Key Concept

Extracting and combining data accurately across mixed formats (absolute values with multipliers and percentage distributions).
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Topics

Combined and Mixed Diagrams

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